emancipezN

2021-02-23

Determine whether the sequence is arithmetic. If so, identify the common difference 11, 10.2, 9.4, 8.6, 7.8, …

Layton

Skilled2021-02-24Added 89 answers

Step 1

For a sequence to be an arithmetic progression it must follow the common difference procedure as.

$a,b,c,d,e,.....$

$b-a=c-b=d-c=e-d=....$

Step 2

For the given sequence, check whether it follows the common difference as suggested above.

$11,10.2,9.4,8.6,7.8,....$

$10.2-11=-0.8$

$9.4-10.2=-0.8$

$8.6-9.4=-0.8$

$7.8-8.6=-0.8$

Step 3

As it follows the common difference procedure therefore it can be concluded that the given sequence is an arithmetic sequence and common difference ‘d’ is calculated to be as.

$d=10.2-11$

$=-0.8$

For a sequence to be an arithmetic progression it must follow the common difference procedure as.

Step 2

For the given sequence, check whether it follows the common difference as suggested above.

Step 3

As it follows the common difference procedure therefore it can be concluded that the given sequence is an arithmetic sequence and common difference ‘d’ is calculated to be as.

$\frac{20b}{{\left(4{b}^{3}\right)}^{3}}$

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